Combine the green tomato and jalapeño in a food processor and pulse until very finely minced. Add the extra virgin olive oil, water, and honey and continue pulsing until combined. Taste and season with salt and pepper.
Dress the salad greens with a teaspoon or two of extra virgin olive oil and a sprinkle of salt and black pepper. Massage gently to coat the greens with the oil. Set aside.
Cut the avocado in half and remove the core and the skin. Thinly slice and set aside.
Arrange the dressed greens in bowls and fan the sliced avocado out in each bowl. Top with cucumber or radish, if using and spoon the green tomato salsa verde on top.
Garnish with a sprinkle of Aleppo pepper, if desired. Enjoy!